Most philosophical accounts on scientific theories are affected by three dogmas or ingrained attitudes. These dogmas have led philosophers to choose between analyzing the internal structure of theories or their historical evolution. In this paper, I turn these three dogmas upside down. I argue (i) that mathematical practices are not epistemically neutral, (ii) that the morphology of theories can be very complex, and (iii) that one should view theoretical knowledge as the combination of internal factors and their intrinsic historicity.

In his paper [2], Hud Hudson presents an interesting argument to the conclusion that two temporally–continuous, spatially–unextended material objects can travel together for all but the last moment of their existences and yet end up one metre apart. What is surprising about this is that Hudson argues that it can be achieved without either object changing in size or moving discontinuously. This would be quite a trick were it to work, but it is far from clear that it does. The (...) problem is that Hudson’s implicit notion of continuity is not the standard one. On the standardly–accepted definition of continuity, his example is straightforwardly a case of discontinuous motion. And there is no surprise that Hudson’s trick can be achieved by invoking discontinuous.. (shrink)

We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements. In accord with a previously obtained result by V. F Orlov , in this paper we invert von Neumann’s result. Instead of (...) constructing logic from quantum mechanics , we construct quantum mechanics from an extended classical logic. It follows that the origins of the two most fundamental quantum phenomena , the indeterminism and the interference of probabilities, lie not in the traditional physics by itself but in the logical structure as realized here by the Clifford algebra. (shrink)

This classic work in the philosophy of physical science is an incisive and readable account of the scientific method. Pierre Duhem was one of the great figures in French science, a devoted teacher, and a distinguished scholar of the history and philosophy of science. This book represents his most mature thought on a wide range of topics.

Hoje em dia é muito frequente sublinhar-se o divórcio entre a Filosofia e a Ciência moderna, pós-galilaica. Isso não acontece certamente por acaso, pois a paciência do questionamento filosófico é, no mínimo, antinómico dos procedimentos de cálculo que asseguram o sucesso da "tecnociência". A verdade, no entanto, é que o desenvolvimento das investigações científicas no século xx fizeram aparecer uma problemática filosófica muito concreta e intrínseca a estas mesmas investigações. Antes de mais, o tempo e a temporalidade passaram a ser (...) seriamente tidos em conta. De resto, segundo o artigo, é precisamente a partir da noção de um mundo em "processo" que se torna possível configurar um verdadeiro diálogo entre Filosofia e Ciência. Nessa medida, o autor do presente artigo propõe-se estabelecer um confronto entre os pensamentos de Edmund Husserl e de Alfred North Whitehead, dois filósofos formados na escola da ciência moderna, em ordem a definir os termos do diálogo possível entre a Filosofia e a Ciência. /// In our scientific culture it is rather common to see a divorce between Philosophy and Modern Science. This is, after all, not very surprising, since there is an antinomy between the patient questioning of Philosophy and the efficacious procedure of the calculus that underlines the success of the "technoscience". Nevertheless, the development of the scientific research in the XXth century brought to the fore the philosophic dimension inherent to these investigations. Particularly, time and temporality became crucial aspects of the scientific investigation of reality. Hence the importance of the idea of "process", an idea that, in accordance with the author of the article, allows the possibility of a serious dialogue between Philosophy and Science. Moreover, the article defends that the confrontation between the positions of Edmund Husserl and the ones defended by Alfred North Whitehead, two philosophers schooled in the domains of modern science, can constitute a serious start for this necessary dialogue between Philosophy and Science. (shrink)

This is a critical notice of Ladyman and Ross et al's Every Thing Must Go. I argue that they mischaracterise much of so-called 'analytic metaphysics', and that they could have usefully drawn upon the resources of current metaphysics in order to articulate their own views more clearly. The piece appears in a symposium which also includes contributions by Kyle Stanford and Paul Humphreys, with responses from Ladyman and Ross.

— Niels Bohr, 19231 “There must be quite definite and clear grounds, why you repeatedly declare that one must interpret observations classically, which lie absolute ly in thei r essenc e. . . . It must belong to your deepest conviction—and I cannot understand on what you base it.”.

Erik Banks does several things in this slender yet substantial book on realistic empiricism (aka neutral monism). First, he encapsulates the main ideas of this tradition. While he goes into greater depth on some of these ideas than other introductions do, these pages are still accessible to nonspecialists. Second, he traces the the history of this tradition through the Austrian scientist, Ernst Mach, the American psychologist, William James, the British philosopher, Bertrand Russell, and others. These four chapters are a valuable (...) source for readers seeking to understand neutral monism in depth. Third, he develops his own version of neutral monism to deal with problems in the philosophies of mind and science. Most of my commentary will pertain to his own theory, which has some similar roots to my own. (shrink)

This chapter indicates a number of improvements and developments that have been made to aim-oriented empiricism since the publication of the first edition of "From Knowledge to Wisdom" in 1984. It also argues that aim-oriented empiricism enables us to solve three fundamental problems in the philosophy of science: the problems of induction, verisimilitude, and the problem of what it means to say of a physical theory that it is unified - a problem that baffled even Einstein. This chapter improves earlier (...) attempts at solving these problems, given aim-oriented empiricism. (shrink)

For forty years I have argued that we urgently need to bring about a revolution in academia so that the basic task becomes to seek and promote wisdom. How did I come to argue for such a preposterously gigantic intellectual revolution? It goes back to my childhood. From an early age, I desired passionately to understand the physical universe. Then, around adolescence, my passion became to understand the heart and soul of people via the novel. But I never discovered how (...) to tell stories in order to tell the truth. So, having failed to become a physicist, and failed to become a novelist, I studied philosophy at Manchester University and then, in six weeks of inspiration, discovered that the riddle of the universe is the riddle of our desires. Philosophy should be about how to live, and should not just do conceptual analysis. I struggled to reconcile the two worlds of my childhood ambitions, the physical universe and the human world. I decided they could be reconciled with one another if one regarded the two accounts of them, physics and common sense, as myths, and not as literal truths. But then I discovered Karl Popper: truth is too important to be discarded. I revised my ideas: physics seeks to depict truly only an aspect of all that there is; in addition, there is the aspect of the experiential features of the world as we experience it. I was immensely impressed with Popper’s view that science makes progress, not by verification, but by ferocious attempted falsification of theories. I was impressed, too, with his generalization of this view to form critical rationalism. Then it dawned on me: Popper’s view of science is untenable because it misrepresents the basic aim of science. This is not truth as such; rather it is explanatory truth – truth presupposed to be unified or physically comprehensible. We need, I realized, a new conception of science, called by me aim-oriented empiricism, which acknowledges the real, problematic aims of science, and seeks to improve them. Then, treading along a path parallel to Popper’s, I realized that aim-oriented empiricism can be generalized to form a new conception of rationality, aim-oriented rationality, with implications for all that we do. This led on to a new conception of academic inquiry. From the Enlightenment we have inherited the view that academia, in order to help promote human welfare, must first acquire knowledge. But this is profoundly and damagingly irrational. If academia really does seek to help promote human welfare, then its primary tasks must be to articulate problems of living, and propose and critically assess possible solutions – possible actions, policies, political programmes, philosophies of life. The pursuit of knowledge is secondary. Academia needs to promote cooperatively rational problem solving in the social world, and needs to help humanity improve individual and institutional aims by exploiting aim-oriented rationality, arrived at by generalizing the real progress-achieving methods of science. We might, as a result, get into life some of the progressive success that is such a marked feature of science. Thus began my campaign to promote awareness of the urgent need for a new kind of academic inquiry rationally devoted to helping humanity create a wiser world. (shrink)

After a sketch of the optimism and high aspirations of History and Philosophy of Science when I first joined the field in the mid 1960s, I go on to describe the disastrous impact of "the strong programme" and social constructivism in history and sociology of science. Despite Alan Sokal's brilliant spoof article, and the "science wars" that flared up partly as a result, the whole field of Science and Technology Studies (STS) is still adversely affected by social constructivist ideas. I (...) then go on to spell out how in my view STS ought to develop. It is, to begin with, vitally important to recognize the profoundly problematic character of the aims of science. There are substantial, influential and highly problematic metaphysical, value and political assumptions built into these aims. Once this is appreciated, it becomes clear that we need a new kind of science which subjects problematic aims - problematic assumptions inherent in these aims - to sustained imaginative and critical scrutiny as an integral part of science itself. This needs to be done in an attempt to improve the aims and methods of science as science proceeds. The upshot is that science, STS, and the relationship between the two, are all transformed. STS becomes an integral part of science itself. And becomes a part of an urgently needed campaign to transform universities so that they become devoted to helping humanity create a wiser world. (shrink)

Incommensurability was Kuhn’s worst mistake. If it is to be found anywhere in science, it would be in physics. But revolutions in theoretical physics all embody theoretical unification. Far from obliterating the idea that there is a persisting theoretical idea in physics, revolutions do just the opposite: they all actually exemplify the persisting idea of underlying unity. Furthermore, persistent acceptance of unifying theories in physics when empirically more successful disunified rivals can always be concocted means that physics makes a persistent (...) implicit assumption concerning unity. To put it in Kuhnian terms, underlying unity is a paradigm for paradigms. We need a conception of science which represents problematic assumptions concerning the physical comprehensibility and knowability of the universe in the form of a hierarchy, these assumptions becoming less and less substantial and more and more such that their truth is required for science, or the pursuit of knowledge, to be possible at all, as one goes up the hierarchy. This hierarchical conception of science has important Kuhnian features, but also differs dramatically from the view Kuhn expounds in his The Structure of Scientific Revolutions. In this paper, I compare and contrast these two views in a much more detailed way than has been done hitherto. I show how the hierarchical view can be construed to emerge from Kuhn’s view as it is modified to overcome objections. I argue that the hierarchical conception of science is to be preferred to Kuhn’s view. (shrink)

We are in a state of impending crisis. And the fault lies in part with academia. For two centuries or so, academia has been devoted to the pursuit of knowledge and technological know-how. This has enormously increased our power to act which has, in turn, brought us both all the great benefits of the modern world and the crises we now face. Modern science and technology have made possible modern industry and agriculture, the explosive growth of the world’s population, global (...) warming, modern armaments and the lethal character of modern warfare, destruction of natural habitats and rapid extinction of species, immense inequalities of wealth and power across the globe, pollution of earth, sea and air, even the aids epidemic (aids being spread by modern travel). All these global problems have arisen because some of us have acquired unprecedented powers to act without acquiring the capacity to act wisely. We urgently need to bring about a revolution in universities so that the basic intellectual aim becomes, not knowledge merely, but rather wisdom – wisdom being the capacity to realize what is of value in life, for oneself and others, thus including knowledge and technological know-how, but much else besides. This is an argument I have propounded during the last three decades in six books, over thirty papers, and countless lectures delivered in universities and conferences all over the UK, Europe and north America. Despite all this effort, the argument has, by and large, been ignored. What is really surprising is that philosophers have paid no attention, despite the fact that that this body of work claims to solve the profoundly important philosophical problem: What kind of inquiry best helps us make progress towards as good a world as possible? There are, nevertheless, indications that some scientists and university administrators are beginning to become aware of the urgent need for science, and universities, to change. This is prompted, partly by growing awareness of the seriousness of environmental problems, especially global warming, and partly by a concern to improve the relationship between science and the public. So far, however, these changes have been small-scale, scattered and piecemeal. What we require is for academics and non-academics alike to wake up to the urgent need for change so that we may come to possess what we so strikingly and disastrously lack at present: a kind of inquiry rationally devoted to helping humanity make progress towards as good a world as possible. (shrink)

Science provides us with the methodological key to wisdom. This idea goes back to the 18th century French Enlightenment. Unfortunately, in developing the idea, the philosophes of the Enlightenment made three fundamental blunders: they failed to characterize the progress-achieving methods of science properly, they failed to generalize these methods properly, and they failed to develop social inquiry as social methodology having, as its basic task, to get progress-achieving methods, generalized from science, into social life so that humanity might make progress (...) towards an enlightened world. Instead, the philosophes developed social inquiry as social science. This botched version of the Enlightenment idea was further developed throughout the 19th century, and built into academia in the early 20th century with the creation of university departments of social science. As a result, academia today seeks knowledge but does not devote reason to the task of helping humanity make progress towards a better, wiser world. Our current and impending global crises are the outcome. We urgently need to bring about a revolution in universities throughout the world so that the blunders of the Enlightenment are corrected, and universities take up their proper task of helping humanity make progress towards a wiser world. (shrink)

In this article I reply to comments made by Agustin Vicente and Giridhari Lal Pandit on Science and the Pursuit of Wisdom (McHenry 2009 ). I criticize analytic philosophy, go on to expound the argument for the need for a revolution in academic inquiry so that the basic aim becomes wisdom and not just knowledge, defend aim-oriented empiricism, outline my solution to the human world/physical universe problem, and defend the thesis that free will is compatible with physicalism.

The Urgent Need for an Intellectual Revolution For much of my working life (from 1972 onwards) I have argued, in and out of print, that we need to bring about a revolution in the aims and methods of science – and of academic inquiry more generally. Instead of giving priority to the search for knowledge, academia needs to devote itself to seeking and promoting wisdom by rational means, wisdom being the capacity to realize what is of value in life, for (...) oneself and others, wisdom thus including knowledge, understanding and technological know-how, but much else besides. A basic task ought to be to help humanity learn how to create a better world. (shrink)

The suggestion that philosophers are responsible for global warming seems, on the face of it, absurd. However, that we might cause global warming has been known for over a century. If we had had in existence a more rigorous kind of academic inquiry devoted to promoting human welfare, giving priority to problems of living, humanity might have become aware of the dangers of global warming long ago, and might have taken steps to meet these dangers decades ago. That we do (...) not have academic inquiry of this type, giving priority to problems of living and able to warn humanity of the impending disaster of global warming, is the result of a philosophical mistake – a mistake about what constitutes rigorous intellectual inquiry. This is a mistake of philosophers. Thus philosophers, in failing to grasp the profound intellectual and humanitarian failings of academia as it is at present organized (the outcome of implementing a seriously defective philosophy of inquiry) can perhaps be said to be responsible for global warming. (shrink)

A Mug's Game? Solving the Problem of Induction with Metaphysical Presuppositions Nicholas Maxwell Emeritus Reader in Philosophy of Science at University College London Email: nicholas.maxwell@ucl.ac.uk Website: www.ucl.ac.uk/from-knowledge-to-wisdom . Abstract This paper argues that a view of science, expounded and defended elsewhere, solves the problem of induction. The view holds that we need to see science as accepting a hierarchy of metaphysical theses concerning the comprehensibility and knowability of the universe, these theses asserting less and less as we go up the (...) hierarchy. It may seem that this view must suffer from vicious circularity, in so far as accepting physical theories is justified by an appeal to metaphysical theses in turn justified by the success of science. But this is rebutted. A thesis high up in the hierarchy asserts that the universe is such that the element of circularity, just indicated, is legitimate and justified, and not vicious. Acceptance of the thesis is in turn justified without appeal to the success of science. It may seem that the practical problem of induction can only be solved along these lines if there is a justification of the truth of the metaphysical theses in question. It is argued that this demand must be rejected as it stems from an irrational conception of science. (shrink)

In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere, is a kind of synthesis of the views of Popper, Kuhn and Lakatos, but is also an improvement over the views of all three. Whereas Popper's falsificationism protects metaphysical assumptions implicitly made by science from criticism, AOE exposes all such assumptions to sustained criticism, and furthermore focuses criticism on those assumptions most likely to need revision if science is (...) to make progress. Even though AOE is, in this way, more Popperian than Popper, it is also, in some respects, more like the views of Kuhn and Lakatos than falsificationism is. AOE is able, however, to solve problems which Kuhn's and Lakatos's views cannot solve. (shrink)

In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere[1], is a kind of synthesis of the views of Popper, Kuhn and Lakatos, but is also an improvement over the views of all three. Whereas Popper's falsificationism protects metaphysical assumptions implicitly made by science from criticism, AOE exposes all such assumptions to sustained criticism, and furthermore focuses criticism on those assumptions most likely to need revision if science is (...) to make progress. Even though AOE is, in this way, more Popperian than Popper, it is also, in some respects, more like the views of Kuhn and Lakatos than falsificationism is. AOE is able, however, to solve problems which Kuhn's and Lakatos's views cannot solve. [Back to Top]. (shrink)

A scientific theory, in order to be accepted as a part of theoretical scientific knowledge, must satisfy both empirical and non-empirical requirements, the latter having to do with simplicity, unity, explanatory character, symmetry, beauty. No satisfactory, generally accepted account of such non-empirical requirements has so far been given. Here, a proposal is put forward which, it is claimed, makes a contribution towards solving the problem. This proposal concerns unity of physical theory. In order to satisfy the non-empirical requirement of unity, (...) a physical theory must be such that the same laws govern all possible phenomena to which the theory applies. Eight increasingly demanding versions of this requirement are distinguished. Some implications for other non-empirical requirements, and for our understanding of science are indicated. (shrink)

Neurosis can be interpreted as a methodological condition which any aim-pursuing entity can suffer from. If such an entity pursues a problematic aim B, represents to itself that it is pursuing a different aim C, and as a result fails to solve the problems associated with B which, if solved, would lead to the pursuit of aim A, then the entity may be said to be "rationalistically neurotic". Natural science is neurotic in this sense in so far as a basic (...) aim of science is represented to be to improve knowledge of factual truth as such (aim C), when actually the aim of science is to improve knowledge of explanatory truth (aim B). Science does not suffer too much from this neurosis, but philosophy of science does. Much more serious is the rationalistic neurosis of the social sciences, and of academic inquiry more generally. Freeing social science and academic inquiry from neurosis would have far reaching, beneficial, intellectual, institutional and cultural consequences. (shrink)

Many scientists, if pushed, may be inclined to hazard the guess that the universe is comprehensible, even physically comprehensible. Almost all, however, would vehemently deny that science has already established that the universe is comprehensible. It is, nevertheless, just this that I claim to be the case. Once one gets the nature of science properly into perspective, it becomes clear that the comprehensibility of the universe is as secure an item of current scientific knowledge as anything theoretical in science can (...) be, more secure, indeed, than the most firmly established fundamental theories of physics, such as quantum theory or Einstein's general theory of relativity. (shrink)

We face two great probems of learning: learning about the universe and about ourselves as a part of the universe, and learning how to create world civilization. We have solved the first problem, but not the second. We need to learn from our solution to the first problem how to solve the second. That involves getting clear about the nature of the progress-achieving methods of science, generalizing these methods so that they become fruitfully applicable to any problematic endeavour, and then (...) getting these generalized progress-acheving methods into all our other institutions besides science, and above all into the endeavour to make progress towards a good, civilized world. This article spells out what this programme involves. (shrink)

Saunders' recent arguments in favour of the weak discernibility of (certain) quantum particles seem to be grounded in the 'generalist' view that science only provides general descriptions of the worlIn this paper, I introduce the ‘generalist’ perspective and consider its possible justification and philosophical basis; and then look at the notion of weak discernibility. I expand on the criticisms formulated by Hawley (2006) and Dieks and Veerstegh (2008) and explain what I take to be the basic problem: that the properties (...) invoked by Saunders cannot be pointed to as ‘individuators’ of otherwise indiscernible (and thus numerically identical) entities because their ontological status remains underdetermined by the evidence and the established interpretation of the theory. In addition to to this, I suggest that Saunders does not deal adequately with bosons, and cannot do so exactly because he subscribes to PII and the generalist picture. The last part of the paper contains a critical examination of the claim (or at least implicit assumption) that the generalist picture should be regarded as obviously compelling by the modern-day empiricist. (shrink)

When it became uncool to speak of beauty with respect to pieces of art, physicists started claiming that their results are beautiful. They say, for example, that a theory's beauty speaks in favour of its truth, and that they strive to perform beautiful experiments. What does that mean? The notion cannot be defined. (It cannot be defined in the arts either). Therefore, I elucidate it with examples of optical experimentation. Desaguliers' white synthesis, for example, is more beautiful than Newton's, and (...) the many colourful syntheses done by Viennese painter Ingo Nussbaumer exemplify even greater beauty. Here are some criteria (which, of course, do not implement a decision procedure concerning beauty in experiments): cleanliness, simplicity, intellectual clarity, symmetry. Similar criteria are relevant to our aesthetical judgements about some pieces of music. So we can assume that our notion of beauty conserning art is related to the one conserning scientific experiments. (shrink)

Extensive measurement theory is developed in terms of theratio of two elements of an arbitrary (not necessarily Archimedean) extensive structure; thisextensive ratio space is a special case of a more general structure called aratio space. Ratio spaces possess a natural family of numerical scales (r-scales) which are definable in non-representational terms; ther-scales for an extensive ratio space thus constitute a family of numerical scales (extensive r-scales) for extensive structures which are defined in a non-representational manner. This is interpreted as involving (...) arelational theory of quantity which contrasts in certain respects with thequalitative theory of quantity implicit in standard representational extensive measurement theory. The representational properties of extensiver-scales are investigated, and found to coincide withweak extensive measurement in the sense of Holman. This provides support for the thesis (developed in a separate paper) that weak extensive measurement is a more natural model of actual physical extensive scales than is the standard model using strong extensive measurement. Finally, the present apparatus is applied to slightly simplify the existing necessary and sufficient conditions for strong extensive measurement. (shrink)

In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such (...) as Rudolf Carnap and Hans Reichenbach. Putnam agreed with Quine that there are no absolute a priori truths. In particular, he was critical of the notion of truth by convention. Instead he developed a notion of relative a priori truth, that is, a notion of necessary truth with respect to a body of knowledge, or a conceptual scheme. Putnam's position on necessity has developed over the years and has always been connected to his important contributions to the philosophy of meaning. I study Hilary Putnam's development through an early phase of scientific realism, a middle phase of internal realism, and his later position of a natural or commonsense realism. I challenge some of Putnam’s ideas on mathematical necessity, although I have largely defended his views against some other contemporary major philosophers; for instance, I defend his conceptual relativism, his conceptual pluralism, as well as his analysis of the realism/anti-realism debate. (shrink)

Hyder constructs two historical narratives. First, he gives an account of Helmholtz's relation to Kant, from the famous Raumproblem, which preoccupied philosophers, geometers, and scientists in the mid-19th century, to Helmholtz's arguments in his four papers on geometry from 1868 to 1878 that geometry is, in some sense, an empirical science (chapters 5 and 6). The second theme is the argument for the necessity of central forces to a determinate scientific description of physical reality, an abiding concern of Helmholtz's, and (...) one that, as Hyder shows, has Kantian roots. Helmholtz's commitment to the necessity of central forces was key to his responses to rival views on electromagnetism, and is a deep and often under-appreciated element of his epistemology of science. (shrink)

There is a persistent state of confusion regarding the nature of the Unruh effect. We will argue that, in contrast to some interpretations thereof, the effect does not represent any novel physics and that, by its very nature, the effect is fundamentally unmeasurable in all experiments of the kind that have been contemplated until now. Also, we discuss what aspects connected with this effect one might consider as possibilities to be explored empirically and what their precise meaning may be regarding (...) the issue at hand. (shrink)

Philosophy of science in the 20th century is to be considered as mostly characterized by a fundamentally systematic heuristic attitude, which looks to mathematics, and more generally to the philosophy of mathematics, for a genuinely and epistemologically legitimate form of knowledge. Rooted in this assumption, the book provides a formal reconsidering of the dynamics of scientific theories, especially in the field of the physical sciences, and offers a significant contribution to current epistemological investigations regarding the validity of using formal (especially: (...) model-theoretic) methods of analysis, as developed principally by Stegmüller, Sneed, Suppes, Moulines, “to bring the airy flights of analytical philosophy back down to earth”, to borrow Stephan Hartmann’s provocative statement. At the same time, the volume represents a comprehensive account of the epistemic content of physical theories, the logic of theory change in science, and specific (inter-)theoretical core aspects of scientific progress, particularly in the form suggested informally by Thomas Kuhn. As C. Ulises Moulines writes in the preface, “there is no other example in present-day literature (in any language) on this topic, i.e. the formal analysis of the ideographic characterization of the dynamics of theories between Kuhn’s theory of science and structural epistemology, that is as systematic and complete as Perrone’s work”. (shrink)

Philosophy of science in the 20th century is to be considered as mostly characterized by a fundamentally systematic heuristic attitude, which looks to mathematics, and more generally to the philosophy of mathematics, for a genuinely and epistemologically legitimate form of knowledge. Rooted in this assumption, the book provides a formal reconsidering of the dynamics of scientific theories, especially in the field of the physical sciences, and offers a significant contribution to current epistemological investigations regarding the validity of using formal (essentially (...) model-theoretic) methods of analysis, as developed principally by Stegmüller, Sneed, Suppes, Moulines, “to bring the airy flights of analytical philosophy back down to earth”, to borrow Stephan Hartmann’s provocative statement. At the same time, the volume represents a comprehensive account of the epistemic content of physical theories,the logic of theory change in empirical sciences, and the specific (inter-)theoretical core aspects of scientific progress, particularly in the form suggested informally by Thomas Kuhn. As C. Ulises Moulines writes in the preface, “there is no other example in present-day literature (of any language) on this topic, i.e. a formal comparative analysis of the ideographic characterization of the dynamics of theories between Kuhn’s theory of science and structural epistemology, that is as systematic and complete as Perrone’s work”. (shrink)

The significance and use of absence of a thing is highlighted taking examples from mathematics, physics, semi-conductor electronics, computer science and cognitive science. The profundity of absence is discussed.

The mathematical constructions, physical structure and manifestations of physical time are reviewed. The nature of insight and mathematics used to understand and deal with physical time associated with classical, quantum and cosmic processes is contemplated together with a comprehensive understanding of classical time. Scalar time (explicit time or quantitative time), vector time (implicit time or qualitative time), biological time, time of and in conscious awareness are discussed. The mathematical understanding of time in special and general theories of relativity is critically (...) analyzed. The independent nature of classical, quantum and cosmic physical times from one another, and the manifestations of respective physical happenings, distinct from universal time, are highlighted. The role of a universal time related or unrelated to origin, being etc., of universe or cosmos as common thread in all happenings is reviewed. The missing of time is identified and concept of absence of time is put forward. The complex nature of time and the real and imaginary dimensions of physical time are also elaborately discussed together with human time- consciousness as past, present and future. (shrink)

In this paper, a number of traditional models related to the percolation theory has been considered by means of new computational methodology that does not use Cantor’s ideas and describes infinite and infinitesimal numbers in accordance with the principle ‘The part is less than the whole’. It gives a possibility to work with finite, infinite, and infinitesimal quantities numerically by using a new kind of a compute - the Infinity Computer – introduced recently in [18]. The new approach does not (...) contradict Cantor. In contrast, it can be viewed as an evolution of his deep ideas regarding the existence of different infinite numbers in a more applied way. Site percolation and gradient percolation have been studied by applying the new computational tools. It has been established that in an infinite system the phase transition point is not really a point as with respect of traditional approach. In light of new arithmetic it appears as a critical interval, rather than a critical point. Depending on “microscope” we use this interval could be regarded as finite, infinite and infinitesimal short interval. Using new approach we observed that in vicinity of percolation threshold we have many different infinite clusters instead of one infinite cluster that appears in traditional consideration. (shrink)

Wolfgang Pauli was influenced by Carl Jung and the Platonism of Arnold Sommerfeld, who introduced the fine-structure constant. Pauli’s vision of a World Clock is related to the symbolic form of the Emerald Tablet of Hermes and Plato’s geometric allegory otherwise known as the Cosmological Circle attributed to ancient tradition. With this vision Pauli revealed geometric clues to the mystery of the fine-structure constant that determines the strength of the electromagnetic interaction. A Platonic interpretation of the World Clock and the (...) Cosmological Circle provides an explanation that includes the geometric structure of the pineal gland described by the golden ratio. In his experience of archetypal images Pauli encounters the synchronicity of events that contribute to his quest for physical symmetry relevant to the development of quantum electrodynamics. (shrink)

Psychologists debate whether mental attributes can be quantified or whether they admit only qualitative comparisons of more and less. Their disagreement is not merely terminological, for it bears upon the permissibility of various statistical techniques. This article contributes to the discussion in two stages. First it explains how temperature, which was originally a qualitative concept, came to occupy its position as an unquestionably quantitative concept (§§1–4). Specifically, it lays out the circumstances in which thermometers, which register quantitative (or cardinal) differences, (...) became distinguishable from thermoscopes, which register merely qualitative (or ordinal) differences. I argue that this distinction became possible thanks to the work of Joseph Black, ca. 1760. Second, the article contends that the model implicit in temperature’s quantitative status offers a better way for thinking about the quantitative status of mental attributes than models from measurement theory (§§5–6). (shrink)

The recent discovery of an indeterministic system in classical mechanics, the Norton dome, has shown that answering the question whether classical mechanics is deterministic can be a complicated matter. In this paper I show that indeterministic systems similar to the Norton dome were already known in the nineteenth century: I discuss four nineteenth century authors who wrote about such systems, namely Poisson, Duhamel, Boussinesq and Bertrand. However, I argue that their discussion of such systems was very different from the contemporary (...) discussion about the Norton dome, because physicists in the nineteenth century conceived of determinism in essentially different ways: whereas in the contemporary literature on determinism in classical physics, determinism is usually taken to be a property of the equations of physics, in the nineteenth century determinism was primarily taken to be a presupposition of theories in physics, and as such it was not necessarily affected by the possible existence of systems such as the Norton dome. (shrink)

From a Kuhnian perspective, a paradigmatic revolution in management science will significantly improve our understanding of the business world and show practitioners (including managers and consultants) how to become much more effective. Without an objective measure of revolution, however, the door is open for spurious claims of revolutionary advance. Such claims cause confusion among scholars and practitioners and reduce the legitimacy of university management programs. Metatheoretical methods, based on insights from systems theory, provide new tools for analyzing the structure of (...) theory. Propositional analysis is one such method that may be applied to objectively quantify the formal robustness of management theory. In this chapter, I use propositional analysis to analyze different versions of a theory as it evolves across 1,500 years of history. This analysis shows how the increasing robustness of theory anticipates the arrival of revolution and suggests an innovative and effective way for scholars and practitioners to develop and evaluate theories of management. (shrink)